Physics Letters A, ISSN 0375-9601, 08/2014, Volume 378, Issue 40, pp. 2931 - 2937

We decouple the Dirac's radial equations in D+1 dimensions with Coulomb-type scalar and vector potentials through appropriate transformations. We study each of...

Lie algebras | Coherent states | Dirac equation | Scalar–vector potentials | Higher dimensions | Scalar-vector potentials | SUPERSYMMETRY | REPRESENTATIONS | PHYSICS, MULTIDISCIPLINARY | UNIFIED TREATMENT | ALGEBRA | LADDER OPERATORS | RELATIVISTIC HYDROGEN-ATOM | EQUATION | Algebra

Lie algebras | Coherent states | Dirac equation | Scalar–vector potentials | Higher dimensions | Scalar-vector potentials | SUPERSYMMETRY | REPRESENTATIONS | PHYSICS, MULTIDISCIPLINARY | UNIFIED TREATMENT | ALGEBRA | LADDER OPERATORS | RELATIVISTIC HYDROGEN-ATOM | EQUATION | Algebra

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 06/2016, Volume 57, Issue 6, p. 62104

We introduce a generalization of the Jaynes-Cummings model and study some of its properties. We obtain the energy spectrum and eigenfunctions of this model by...

DIRAC OSCILLATOR | STATES | PHASE | COLLAPSE | QUANTUM | CAVITY | PHYSICS, MATHEMATICAL | Parametric amplifiers | Computer simulation | Energy spectra | Relativism | Eigenvectors | Relativistic effects | Harmonic oscillators | PARAMETRIC AMPLIFIERS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ENERGY SPECTRA | ONE-DIMENSIONAL CALCULATIONS | EIGENFUNCTIONS | HARMONIC OSCILLATORS | SIMULATION | RELATIVISTIC RANGE

DIRAC OSCILLATOR | STATES | PHASE | COLLAPSE | QUANTUM | CAVITY | PHYSICS, MATHEMATICAL | Parametric amplifiers | Computer simulation | Energy spectra | Relativism | Eigenvectors | Relativistic effects | Harmonic oscillators | PARAMETRIC AMPLIFIERS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ENERGY SPECTRA | ONE-DIMENSIONAL CALCULATIONS | EIGENFUNCTIONS | HARMONIC OSCILLATORS | SIMULATION | RELATIVISTIC RANGE

Journal Article

Modern Physics Letters A, ISSN 0217-7323, 02/2019, Volume 34, Issue 4, p. 1950028

By modifying and generalizing known supersymmetric models, we are able to find four different sets of one-dimensional Hamiltonians for the inverted harmonic...

Dunkl operators | inverted harmonic oscillator | supersymmetric quantum mechanics | reflection operators | Non-Hermitian Hamiltonians | EQUATIONS | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | BOSONIZED SUPERSYMMETRY | ASTRONOMY & ASTROPHYSICS | DEFORMED HEISENBERG ALGEBRA | QUANTUM-MECHANICS | PHYSICS, PARTICLES & FIELDS

Dunkl operators | inverted harmonic oscillator | supersymmetric quantum mechanics | reflection operators | Non-Hermitian Hamiltonians | EQUATIONS | PHYSICS, NUCLEAR | PHYSICS, MATHEMATICAL | BOSONIZED SUPERSYMMETRY | ASTRONOMY & ASTROPHYSICS | DEFORMED HEISENBERG ALGEBRA | QUANTUM-MECHANICS | PHYSICS, PARTICLES & FIELDS

Journal Article

4.
Full Text
SU(1,1) solution for the Dunkl–Coulomb problem in two dimensions and its coherent states

Modern Physics Letters A, ISSN 0217-7323, 06/2018, Volume 33, Issue 20, p. 1850112

We study the radial part of the Dunkl–Coulomb problem in two dimensions and show that this problem possesses the SU(1, 1) symmetry. We introduce two different...

tilting transformation | Algebraic methods | coherent states | Dunkl operators | Schrödinger factorization | REPRESENTATIONS | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | Schrodinger factorization | PHYSICS, MATHEMATICAL | OSCILLATOR | OPERATORS | PHYSICS, PARTICLES & FIELDS

tilting transformation | Algebraic methods | coherent states | Dunkl operators | Schrödinger factorization | REPRESENTATIONS | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | Schrodinger factorization | PHYSICS, MATHEMATICAL | OSCILLATOR | OPERATORS | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 02/2016, Volume 57, Issue 2, p. 21704

We study the radial part of the McIntosh-Cisneros-Zwanziger (MICZ)-Kepler problem in an algebraic way by using the (1, 1) Lie algebra. We obtain the energy...

PHYSICS, MATHEMATICAL | ALGEBRA | Schroedinger equation | Eigenvectors | Energy spectra | Coherence | Lie groups

PHYSICS, MATHEMATICAL | ALGEBRA | Schroedinger equation | Eigenvectors | Energy spectra | Coherence | Lie groups

Journal Article

Annals of Physics, ISSN 0003-4916, 09/2016, Volume 372, pp. 283 - 296

We study a relativistic quantum particle in cosmic string spacetime in the presence of a magnetic field and a Coulomb-type scalar potential. It is shown that...

Cosmic string spacetime | Tilting transformation | Algebraic methods | Schrödinger factorization | Coherent states | PHYSICS, MULTIDISCIPLINARY | DIRAC-EQUATION | FIELD | Schrodinger factorization | OSCILLATOR | PHASE | DYNAMICS | GRAVITATIONAL ANALOG | SCALAR | Magnetic fields | Quantum physics | Spacetime | Particle physics | Physics - Quantum Physics

Cosmic string spacetime | Tilting transformation | Algebraic methods | Schrödinger factorization | Coherent states | PHYSICS, MULTIDISCIPLINARY | DIRAC-EQUATION | FIELD | Schrodinger factorization | OSCILLATOR | PHASE | DYNAMICS | GRAVITATIONAL ANALOG | SCALAR | Magnetic fields | Quantum physics | Spacetime | Particle physics | Physics - Quantum Physics

Journal Article

The European Physical Journal Plus, ISSN 2190-5444, 1/2017, Volume 132, Issue 1, pp. 1 - 8

We study the Dunkl oscillator in two dimensions by the su(1,1) algebraic method. We apply the Schrödinger factorization to the radial Hamiltonian of the Dunkl...

Condensed Matter Physics | Atomic, Molecular, Optical and Plasma Physics | Applied and Technical Physics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | LIE-ALGEBRAS | POTENTIALS | PHYSICS, MULTIDISCIPLINARY | ALGEBRAIC APPROACH

Condensed Matter Physics | Atomic, Molecular, Optical and Plasma Physics | Applied and Technical Physics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | LIE-ALGEBRAS | POTENTIALS | PHYSICS, MULTIDISCIPLINARY | ALGEBRAIC APPROACH

Journal Article

Journal of the Optical Society of America B: Optical Physics, ISSN 0740-3224, 08/2016, Volume 33, Issue 8, pp. 1696 - 1701

We introduce an alternative approach to the polarization theory of light. This theory is based on a set of quantum operators, constructed from two independent...

REPRESENTATION | OPTICS | ELECTROMAGNETIC-WAVE POLARIZATION | Operators (mathematics) | Stokes parameters | Polarization | Parameters | Electromagnetic waves | Lie groups | Generators | Bosons

REPRESENTATION | OPTICS | ELECTROMAGNETIC-WAVE POLARIZATION | Operators (mathematics) | Stokes parameters | Polarization | Parameters | Electromagnetic waves | Lie groups | Generators | Bosons

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 07/2018, Volume 59, Issue 7, p. 73506

We study the Tavis-Cummings model with three modes of oscillation by using four different algebraic methods: the Bogoliubov transformation, the normal-mode...

REVIVAL | ONE-ATOM | PHASE | COLLAPSE | STATISTICS | DYNAMICS | COHERENT STATES | RADIATION-FIELD | JAYNES-CUMMINGS | PHYSICS, MATHEMATICAL | QUANTUM-THEORY | Physics - Quantum Physics

REVIVAL | ONE-ATOM | PHASE | COLLAPSE | STATISTICS | DYNAMICS | COHERENT STATES | RADIATION-FIELD | JAYNES-CUMMINGS | PHYSICS, MATHEMATICAL | QUANTUM-THEORY | Physics - Quantum Physics

Journal Article

10.
Full Text
The SU(1, 1) Perelomov number coherent states and the non-degenerate parametric amplifier

Journal of Mathematical Physics, ISSN 0022-2488, 04/2014, Volume 55, Issue 4, p. 42109

We construct the Perelomov number coherent states for an arbitrary su(1, 1) group operation and study some of their properties. We introduce three operators...

DYNAMICS | PHASE | AMPLIFICATION | PHYSICS, MATHEMATICAL | QUANTUM | Operators (mathematics) | Parametric amplifiers | Energy spectra | Coherence | Lie groups | Eigenvectors | Quantum theory | Harmonic oscillators | PARAMETRIC AMPLIFIERS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ANNIHILATION OPERATORS | EIGENSTATES | ENERGY SPECTRA | EIGENFUNCTIONS | HARMONIC OSCILLATORS | SU GROUPS

DYNAMICS | PHASE | AMPLIFICATION | PHYSICS, MATHEMATICAL | QUANTUM | Operators (mathematics) | Parametric amplifiers | Energy spectra | Coherence | Lie groups | Eigenvectors | Quantum theory | Harmonic oscillators | PARAMETRIC AMPLIFIERS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ANNIHILATION OPERATORS | EIGENSTATES | ENERGY SPECTRA | EIGENFUNCTIONS | HARMONIC OSCILLATORS | SU GROUPS

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 11/2019, Volume 60, Issue 11, p. 111704

In this paper, we develop a general method to obtain the Berry phase of time-dependent Hamiltonians with a linear structure given in terms of the SU(1, 1) and...

2-DIMENSIONAL GEOMETRY | REVIVAL | HARMONIC-OSCILLATOR | COLLAPSE | STATE PREPARATION | SYSTEMS | EXAMPLE | JAYNES-CUMMINGS | PHYSICS, MATHEMATICAL | QUANTUM-THEORY | RADIATION | Time dependence | Physics - Quantum Physics

2-DIMENSIONAL GEOMETRY | REVIVAL | HARMONIC-OSCILLATOR | COLLAPSE | STATE PREPARATION | SYSTEMS | EXAMPLE | JAYNES-CUMMINGS | PHYSICS, MATHEMATICAL | QUANTUM-THEORY | RADIATION | Time dependence | Physics - Quantum Physics

Journal Article

Annals of Physics, ISSN 0003-4916, 12/2017, Volume 387, pp. 121 - 134

We introduce two generalizations of the Jaynes–Cummings (JC) model for two modes of oscillation. The first model is formed by two Jaynes–Cummings interactions,...

Coherent state | Jaynes–Cummings model | Lie algebra | DIRAC OSCILLATOR | PHASE | COLLAPSE | PHYSICS, MULTIDISCIPLINARY | Jaynes-Cummings model | QUANTUM | DYNAMICS | NUMBER COHERENT STATES

Coherent state | Jaynes–Cummings model | Lie algebra | DIRAC OSCILLATOR | PHASE | COLLAPSE | PHYSICS, MULTIDISCIPLINARY | Jaynes-Cummings model | QUANTUM | DYNAMICS | NUMBER COHERENT STATES

Journal Article

EUROPEAN PHYSICAL JOURNAL PLUS, ISSN 2190-5444, 12/2019, Volume 134, Issue 12

In this paper we study the interaction part of the most general Hamiltonian of a two-level system in two-dimensional geometry. We decouple the equations for...

COHERENT STATES | BOSON REALIZATION | PHYSICS, MULTIDISCIPLINARY | JAYNES-CUMMINGS-MODEL | ATOM

COHERENT STATES | BOSON REALIZATION | PHYSICS, MULTIDISCIPLINARY | JAYNES-CUMMINGS-MODEL | ATOM

Journal Article

Journal of Nonlinear Mathematical Physics, ISSN 1402-9251, 10/2016, Volume 23, Issue 4, pp. 607 - 619

We study some properties of the SU(1, 1) Perelomov number coherent states. The Schrödinger's uncertainty relationship is evaluated for a position and...

coherent states | pseudoharmonic oscillator | two-dimensional harmonic oscillator | Lie algebras | MATHEMATICS, APPLIED | SU(1,1) | PHASE | HARMONIC-OSCILLATOR | PHYSICS, MATHEMATICAL

coherent states | pseudoharmonic oscillator | two-dimensional harmonic oscillator | Lie algebras | MATHEMATICS, APPLIED | SU(1,1) | PHASE | HARMONIC-OSCILLATOR | PHYSICS, MATHEMATICAL

Journal Article

The European Physical Journal Plus, ISSN 2190-5444, 1/2019, Volume 134, Issue 1, pp. 1 - 11

In this work we study and exactly solve the Dirac oscillator interacting with three different topological defects, namely the cosmic string spacetime (...

Condensed Matter Physics | Atomic, Molecular, Optical and Plasma Physics | Applied and Technical Physics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | SYSTEMS | SPIN | PHYSICS, MULTIDISCIPLINARY | QUANTUM

Condensed Matter Physics | Atomic, Molecular, Optical and Plasma Physics | Applied and Technical Physics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | SYSTEMS | SPIN | PHYSICS, MULTIDISCIPLINARY | QUANTUM

Journal Article

理论物理通讯：英文版, ISSN 0253-6102, 2015, Volume 63, Issue 3, pp. 271 - 274

We show that the（2＋1）-dimensional Dirac-Moshinsky oscillator coupled to an externa/ magnetic field can be treated algebraically with the SU（1,1） group theory...

表示理论 | 振荡器 | 二维 | 外部磁场 | 连接 | 狄拉克 | 相干态 | 本征函数 | Dirac-Moshinsky oscillator | coherent states | Lie algebras | Dirac equation | PHYSICS, MULTIDISCIPLINARY | QUANTUM

表示理论 | 振荡器 | 二维 | 外部磁场 | 连接 | 狄拉克 | 相干态 | 本征函数 | Dirac-Moshinsky oscillator | coherent states | Lie algebras | Dirac equation | PHYSICS, MULTIDISCIPLINARY | QUANTUM

Journal Article

Communications in Theoretical Physics, ISSN 0253-6102, 07/2015, Volume 64, Issue 1, pp. 34 - 38

From the definition of the standard Perelomov coherent states we introduce the Perelomov number coherent states for any su(2) Lie algebra. With the...

Lie algebras | coupled oscillators | coherent states | MECHANICS | PHYSICS, MULTIDISCIPLINARY

Lie algebras | coupled oscillators | coherent states | MECHANICS | PHYSICS, MULTIDISCIPLINARY

Journal Article

The European Physical Journal D, ISSN 1434-6060, 8/2018, Volume 72, Issue 8, pp. 1 - 7

We study and exactly solve the two-photon and k-photon Jaynes–Cummings models by using a novelty algebraic method. This algebraic method is based on the Pauli...

Spectroscopy/Spectrometry | Applications of Nonlinear Dynamics and Chaos Theory | Quantum Optics | Physical Chemistry | Quantum Information Technology, Spintronics | Atomic, Molecular, Optical and Plasma Physics | Quantum Physics | Physics | PHASE | COHERENT STATES | OPTICS | COLLAPSE | QUANTUM | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Physics - Quantum Physics

Spectroscopy/Spectrometry | Applications of Nonlinear Dynamics and Chaos Theory | Quantum Optics | Physical Chemistry | Quantum Information Technology, Spintronics | Atomic, Molecular, Optical and Plasma Physics | Quantum Physics | Physics | PHASE | COHERENT STATES | OPTICS | COLLAPSE | QUANTUM | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Physics - Quantum Physics

Journal Article

Annals of Physics, ISSN 0003-4916, 12/2019, Volume 411, p. 167964

In this paper we study the (2+1)-dimensional Dirac–Dunkl oscillator coupled to an external magnetic field. Our Hamiltonian is obtained from the standard Dirac...

Dunkl derivative | Dirac–Moshinsky oscillator | Dirac equation | COULOMB | Dirac-Moshinsky oscillator | REPRESENTATIONS | PHYSICS, MULTIDISCIPLINARY | QUANTUM | OPERATORS | DIRAC

Dunkl derivative | Dirac–Moshinsky oscillator | Dirac equation | COULOMB | Dirac-Moshinsky oscillator | REPRESENTATIONS | PHYSICS, MULTIDISCIPLINARY | QUANTUM | OPERATORS | DIRAC

Journal Article

20.
A generalized Jaynes-Cummings model: The relativistic parametric amplifier and a single trapped ion

Journal of Mathematical Physics, ISSN 0022-2488, 06/2016, Volume 57, Issue 6, p. 1

We introduce a generalization of the Jaynes-Cummings model and study some of its properties. We obtain the energy spectrum and eigenfunctions of this model by...

Simulation | Receivers & amplifiers | Ions | Eigen values

Simulation | Receivers & amplifiers | Ions | Eigen values

Journal Article

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